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Finding the Fourth Proportional to 222,097.81, 306,494.05 and 120,123.39

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Solution

The fourth proportional to 222,097.81, 306,494.05 and 120,123.39 is: 165,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,097.81 : 306,494.05 = 120,123.39 : x
  2. Step 2: Convert to fraction form
    222,097.81/306,494.05 = 120,123.39/x
  3. Step 3: Cross multiply
    222,097.81x = 306,494.05 × 120,123.39
  4. Step 4: Simplify right side
    222,097.81x = 36,817,104,300.83
  5. Step 5: Solve for x
    x = 36,817,104,300.83/222,097.81
  6. Step 6: Final answer
    x = 165,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.